Proud Pamela Frazer, from Hastings, East Sussex, joked saying, “at least I can’t get them mixed up.”
Candice Anne has dark skin, black hair and dark eyes, while Aleisha Lilly is white with fair hair and light eyes, the Sun reported.
Frazer, 30, has already faced some awkward questions from passers-by when she is out with the four-week-old girls.
But she added: “For me, it makes them even more special.”
She and 37-year-old husband Oswald are both mixed race.
“My mum has got Jamaican, African and Irish in her and my dad is white and Jewish. Oswald’s dad is Jamaican and his mum is Jamaican and Irish,” former bank manager Frazer revealed.
About the different coloured girls she said, “it is quite common for it to happen with siblings, but for twins we were told it is very, very rare.”
“The doctor said it was a one in a million chance,” she said.
Delighted Oswald, an engineer, added: “I saw them and I loved them straight away.
“They looked quite similar to start with but now they look so, so different,” he said.
Frazer’s twins were conceived naturally and delivered prematurely by Caesarean section after her waters broke early.
The mum, who herself has an identical twin called Jemma, said the girls’ personalities are as different as their looks. Aleisha is a “bit of a diva,” who is happy to scream for food during the night, while Candice is “very relaxed” like her dad.
But despite their different characters, Frazer believes her girls will enjoy having a twin sister.